88261272000 has 896 divisors, whose sum is σ = 357338741760. Its totient is φ = 21326976000.

The previous prime is 88261271983. The next prime is 88261272013. The reversal of 88261272000 is 27216288.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 287495847 + ... + 287496153.

It is an arithmetic number, because the mean of its divisors is an integer number (398815560).

Almost surely, 2^88261272000 is an apocalyptic number.

88261272000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88261272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178669370880).

88261272000 is an abundant number, since it is smaller than the sum of its proper divisors (269077469760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88261272000 is a wasteful number, since it uses less digits than its factorization.

88261272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 88261272000 its reverse (27216288), we get a palindrome (88288488288).

The spelling of 88261272000 in words is "eighty-eight billion, two hundred sixty-one million, two hundred seventy-two thousand".